yes, you can get theses coefficients.
This is very well documented.
On Mathematica version 7, look at the Help for NDSolve
-->"Advanced Numerical Differential Equation Solving in mathematica"
----> chapter "partial diferential equations"
-------> chapter "spatial derivative approximations"
----------> especially : explanation about
"NDSolve`FiniteDifferenceDerivative"
Exists also on Mathematica 5.1, in "Advanced documentation"
"kem" <kemelmi at gmail.com> a écrit dans le message de news:
gnm1pp$hht$1 at smc.vnet.net...
> Hi,
>
> Is there a possibility in mathematica to get the coefficients or
> formula for approximation of spatial derivatives with finite
> differences. And, to get these formulas also for different orders of
> approximation?
>
> Specifically the function UFDWeights gives the coefficients for the 1D
> case,
>
> I need the same for the 2D case: partial derivatives:
>
> f_x, f_y, f_xy,f_xx,_fyy
>
>
>
> Thank you
>
>